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Finding the Fourth Proportional to 17,881.17, 24,674.87 and 9,923.40

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Solution

The fourth proportional to 17,881.17, 24,674.87 and 9,923.40 is: 13,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.17 : 24,674.87 = 9,923.40 : x
  2. Step 2: Convert to fraction form
    17,881.17/24,674.87 = 9,923.40/x
  3. Step 3: Cross multiply
    17,881.17x = 24,674.87 × 9,923.40
  4. Step 4: Simplify right side
    17,881.17x = 244,858,555.34
  5. Step 5: Solve for x
    x = 244,858,555.34/17,881.17
  6. Step 6: Final answer
    x = 13,693.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.